8677 + Interview Questions in Maths in Class 14 Page 92 InterviewSolution

4551.	A certain distance is covered at a certain speed . If half of this distance is covered in double the time, the ratio of the two speeds is
Answer» 0.052777777777778 0.16736111111111 0.084027777777778 0.088888888888889 Answer :B

Discussion

4552.	If u = v^(2) = w^(2) =z^(4), then log_(u)(uvwz), is equal to
Answer» `1+1/2 -1/3 - 1/4` 24 `1+1/2 + 1/3 + 1/4` `1/24` ANSWER :C

Discussion

4553.	There are two circles C_1 and C_2 of radii r_1 and r_2, respectively. They are mutually tangent to each other and to a line as well. There is one more circle of radius r_3 which is tangent to this line and first two circles C_1 and C_2. What is the relation between the three radii r_1, r_2 and r_3 ?
Answer» `1/sqrtr_1+1/sqrtr_2=1/sqrtr_3` `sqrtr_1/sqrtr_2+sqrtr_2/sqrtr_1=1/sqrtr_3` `1/sqrtr_3+1/sqrtr_1+1/sqrtr_2` NONE of these Answer :C

Discussion

4554.	Weight of a solid metallic sphere of radius 4 cm is 4 kg. The weight of a hollow sphere made with same metal, whose outer diameter is 16 cm and inner diameter is 12 cm, is
Answer» 20.5 kg 15.5 kg 16.5 kg 18.5 kg Answer :D

Discussion

4555.	A can do 1/2 of a piece of work in 5 days. B can do 3/5 5 of the same work in 9 days and C can do 2/3 3 of the work in 8 days. In how many days can three of them together do the work.
Answer» ANSWER :4

Discussion

4556.	If a quadratic equation is multiplied by 4, the roots of the new equation will be multiplied by
Answer» 16 4 2 1 Answer :D

Discussion

4557.	There are 120 legs and 50 heads of some ducks and horses grazing in a field. Find the number of horses.
Answer» a.20 b.10 C.30 d.40 Answer :C

Discussion

4558.	Answer these questions independently of each other How many different signals can be given using 3 coloured flags from 6 flags of different colours?
Answer» 120 60 18 20 Answer :A

Discussion

4559.	Answer these questions based on the following informations There are fifteen points on the circumference of a circle Find the maximum number of triangles formed by joining the fifteen points.
Answer» 455 355 475 525 Answer :B

Discussion

4560.	Answer these questions based on the following informations There are fifteen points on the circumference of a circle Find the maximum number of quadrilaterals formed by joining the fifteen points.
Answer» (a) 365 (B) 1035 (C) 1155 (d) 1365 Answer :D

Discussion

4561.	Answer these questions based on the following informations There are fifteen points on the circumference of a circle Find the maximum number of octagons formed by joining the fifteen points.
Answer» 6543 2345 7275 6435 Answer :D

Discussion

4562.	At style cloth emporium the shopkeeper measures 20% less for every metre of cloth also he marks-up goods by 20%. What is the profit percentage?
Answer» `50%` `80%` `75%` NONE of these Answer :A

Discussion

4563.	A cylinder of height 2x is circumscribed by a sphere of radius 2x such that the circular ends of the cylinder are two small circles on the sphere. What is the ratio of the curved surface area of the cylinder to the surface area of the sphere?
Answer» `sqrt3:4` `sqrt3:3` `sqrt3:2` `sqrt3:1` ANSWER :A

Discussion

4564.	A conical tent has 60^(@) angle at the vertex. The ratio of its radius and slant height is :
Answer» 3:2 1:2 1:3 can't be determined Answer :B

Discussion

4565.	Jai Bhan wanted to sell his mobilephone consists of the instrument and a SIM card, but Praveen who intended to but it, asked the price of SIM card only ? Jai Bhan told him that the price of the SIM card is Rs. 4000 less than the price of the instrument but if he wished to buy the complete set he had to pay Rs. 5000 only. The price of the instrument was :
Answer» 5500 2500 4500 can't be determined Answer :C

Discussion

4566.	Total number of Caps in a bag, which contains While and Black Cup only, is 16. What is the number of White Cap? (A) Probability of drawing a White Caps p (W) lt 0.3750 (B) Probability of drawing two Black Caps P(B) lt1-P(W) (C ) Difference between no. of White Caps and Black Caps is 12.
Answer» Only statement 'A' alone is suffiecient to answer the question. Both statement A and statement C are REQUIRED to answer the question. Only statement 'C' alone is sufficient to answer the question Wither statemetn A or statement C is sufficient to answer the question Solution :let NUMBER of White and Black Caps is W and B respectively `W+B=32` `(A)to P(W)lt0.3750` `P(W)lt(6)/(16)` So it explains that P should be 1,2,3,4 or 5 `(B)to` we cannot conclude anything from this statement `©to` Now difference of W and B is given = 12 But we don't KNOW which one is greater. So, BYUSING (A) and (C ) together we can answer the question.

Discussion

4567.	The sum of first two terms of a G.P. is 5/3 and the sum to infinity of the series is 3. Find the first term :
Answer» 1 2//3 5 both a and C Answer :C

Discussion

4568.	The compounded ratio of (2 : 3), (6: 11) and (11 :2) is
Answer» A) 1:2 B) 2:1 C) 11:24 D) 36:121 Answer :RS. 8

Discussion

4569.	Then after end of the second quarter A, B and C invested additional amount in the ratio of 4:3:4. Again after end of the 3^(rd) quarter they in invested additional amount in the ratio of 7:6:7. Thye invested the whole amount for one year and the profit earned in the buisness is proportional to the investment and the period of investment. If they had invested additional amount at end of each quarter in same ratio as they had invested after end of the first quarter then find the prfit of B at the end of one year if the total profit at the end of the year is 125000.
Answer» `₹ 75000` `₹ 62500` `₹ 125000` `₹ 37500` Solution :From question we observe that SUM of investement of A and C is EQUAL to B for first quarter. So, if ratio of investement of B is equal to `(A+C)` for all quarters of year then B's profit is `50%` of total profit. So, profit of `B=(125000)/(2)=62500`

Discussion

4570.	Then after end of the second quarter A, B and C invested additional amount in the ratio of 4:3:4. Again after end of the 3^(rd) quarter they in invested additional amount in the ratio of 7:6:7. Thye invested the whole amount for one year and the profit earned in the buisness is proportional to the investment and the period of investment. If the sum of the total amount invested by A and B in the yera is ₹ 9000 and that of B and C is ₹10500 then find the total amount invested by all of them for only 2^(nd) quarter ?
Answer» `₹ 16500` `₹ 17000` `₹ 17500` `₹ 18500` Solution :TOTAL AMOUNT INVESTED by `A+B` in a YEAR `rArr 2500 +7x+7y+13z=9000.......(i)` Total amount invested by B and C in a year `rArr 2300 +8x+7y+13z=10500 .......(ii)` From (i) and (ii) `200-x=-1500` `x=1700 ` Total amount for second quarter `=17000`

Discussion

4571.	If f(x)=x^(2)+2x+2,x ge-1 =x^(3)+3x+1, x lt-1 then find the value of f(f(-2)):
Answer» 15 17 22 none of these Answer :B

Discussion

4572.	Find the value of m if the equationsx^2+2x+3m=0and2x^2+3x+4m=0 have a common root
Answer» (A) 15 (B) 8 (C) 2 (D) `-1` Answer :D

Discussion

4573.	How many numbers between 55 and 555 including both the extreme values are divisible by 5?
Answer» 100 111 101 none of these Answer :C

Discussion

4574.	Out of 180 students in a class 7 students failed in all the three subjects viz , Physics , Chemistry , Maths. Only 144 studentspass in only subject and 21 students and 21 students pass in onlytow subjects. (a) How manystudents passed in all thethree subject ? (b) How many students passed in at mosttow subjects but atleastin onesubject ?
Answer» ANSWER :`=165`

Discussion

4575.	There is a three digits number 'abc' and a two digit number 'xy' such that the product of 'abc' with 'xy' is same as the product of cba with 'yx', if x and y can be similar digits, then the number of such pairs of P and Q is :
Answer» 99 900 810 can't be DETERMINED ANSWER :C

Discussion

4576.	A 440 m long train is running at 240 km/h. In what time will it pass a man running in the direction opposite to that of the train at 24 km/h?
Answer» 9s 6s 12s 4s Answer :B

Discussion

4577.	If the radius of the base is doubled , keeping the height constant , what is the ratio of the volume of the larger cone to the smaller cone ?
Answer» 2:1 3:1 4:1 4:3 Answer :C

Discussion

4578.	Answer these questions based on the following information. There are 2 white candles, 3 red candles, 4 green candles and 3 yellow candles in a brand new packet. All the candles are uniform in shape and size, except their colour, as told above. Find the number of ways of selecting any number of candles.
Answer» A) `2^12` B) 240 C) 72 D) 12 Answer :B

Discussion

4579.	Answer these questions based on the following information. There are 2 white candles, 3 red candles, 4 green candles and 3 yellow candles in a brand new packet. All the candles are uniform in shape and size, except their colour, as told above. Find the number of ways of selecting at least one candle.
Answer» A) `2^22-1` B) 239 C) 72 D) 12 Answer :B

Discussion

4580.	Answer these questions based on the following information. There are 2 white candles, 3 red candles, 4 green candles and 3 yellow candles in a brand new packet. All the candles are uniform in shape and size, except their colour, as told above. Find the number of ways of selecting one candle of each colour.
Answer» A) 10 B) 11 C) 2 D) 1 Answer :D

Discussion

4581.	Simplified value of 7 \frac{1}{2}-[2 \frac{1}{4} \div{1 \frac{1}{4}-\frac{1}{2}(1 \frac{1}{2}-\frac{1}{3}-\frac{1}{6})}] is:
Answer» `2/9` `4 1/2` `9 1/2` `1 77/228` ANSWER :B

Discussion

4582.	Find the no. of zeros in expression 10 xx 100xx1000xx10000xx...10000000000 is :
Answer» 10 100 50 55 Answer :D

Discussion

4583.	Ashok can row upstream at 8 kmph and downstream 12 kmph . What is the speed of the stream ?
Answer» 6km/hr 3 km/hr 2 km/hr 4 km/hr Solution :If the speed DOWNSTREAM is a KMPH and the speed upstream is b kmph then Speed of the stream = `(1)/(2)` (a-b) kmph Explanation Speed downstream a = 12 kmph Speed upstream b = 8 kmph Speed of the stream = `(1)/(2) (a-b) = (1)/(2) (12-8)` = `(4)/(2) = 2` kmph

Discussion

4584.	Evaluate or simplify the following expression . 5 xx 2- [3 - (5 - 7 + 2 " of" 4 - 19)]
Answer» SOLUTION :`5xx2-[3-{5-(7+2 of 4-19)}]` `= 5xx2-[3-{5-(7+8-19)}]` `10-[3-{5-(-4)}]=10-[3-{9}]` `=10-[-6]=10+6=16`

Discussion

4585.	If ((1 - i)/(1+ i))^(100) = x + iy then the value of (x, y) is:
Answer» (0,1) (0,0) (1,0) (-1,0) ANSWER :C

Discussion

4586.	The ratio of efficiency of A is to C is.5 :3 The ratio ofnumber of days taken by B is to C is 2:3 . A takes 6 days less than C, when A and C completes the work individually. B and C started the work arid left after 3 days. The number of days taken by A to finish the remaining work is:
Answer» 4.5 5 6 `9 1/3` ANSWER :C

Discussion

4587.	AuuB=A, then :
Answer» `ASUBB` `BsubA` `AcancelsubB` and `BcancelsubA` NONE of these Answer :B

Discussion

4588.	A takes 7 days more than B to do a certain job and 16 days more than C. A and B together can do the job in the same time as C. How many days A & C would take to do it?
Answer» 40 38 21 8.4 Answer :D

Discussion

4589.	We bought 100 kg rice. Some quantity of them is sold at 8% profit and some is sold at 18% profit.Therefore overall profit is 14%. Find the quantity of rice of both part.
Answer» ANSWER : 40 KG , 60 kg

Discussion

4590.	The true discount on a certain sum due 1 yr hence at 30% per annum, is X 240. What is the banker' discount on the same sum for the same time and at the same rate?
Answer» a. 400 b. 212 C. 312 d. 445 Answer :C

Discussion

4591.	Sanjay purchased a hotel worth ₹ 10 lakh and barkha purchased a car worth ₹ 16 lakh. The value of hotel every year increases by 20% of the previous value and the value of car every year depreciates by 25%. What is the difference between the price of hotel and car after 3 years?
Answer» ₹ 925000 ₹ 1053000 remains CONSTANT can't be determined Answer :B

Discussion

4592.	If x+y+z = 21, the maximum value of (x-6)(y+7)(z-4) is :
Answer» 343 216 125 not unique Answer :B

Discussion

4593.	A father with 8 children takes 3 at a time to the Zoological Gardens, as often as he can without taking the same 3 children together more than once. The number of times he will go to the garden, is
Answer» 56 14 28 76 Answer :A

Discussion

4594.	Solve the following questions on the basis of the following questions on the basis of following functions (a) P_((n+1))=P_((n))-P_((n-1)),P is the term of the sequence and P_((0))=0, P_((1))=1 (b) Q_((n+1))=Q_((n))+Q_((n+1)),Q is the term of the sequence and Q_((0))=0, Q_((1))=1 What is the 10^("th") term of series Q_((n+1)) starting from n=0?
Answer» 34 89 `-1` 55 Answer :D

Discussion

4595.	Solve the following questions on the basis of the following questions on the basis of following functions (a) P_((n+1))=P_((n))-P_((n-1)),P is the term of the sequence and P_((0))=0, P_((1))=1 (b) Q_((n+1))=Q_((n))+Q_((n+1)),Q is the term of the sequence and Q_((0))=0, Q_((1))=1 The value of P cannot be :
Answer» `-1` 0 1 none of these Answer :B

Discussion

4596.	Solve the following questions on the basis of the following questions on the basis of following functions (a) P_((n+1))=P_((n))-P_((n-1)),P is the term of the sequence and P_((0))=0, P_((1))=1 (b) Q_((n+1))=Q_((n))+Q_((n+1)),Q is the term of the sequence and Q_((0))=0, Q_((1))=1 The value of Q_(n)xxP_(n) can be :
Answer» `-34` 89 `-233` 377 Answer :D

Discussion

4597.	Solve the following questions on the basis of the following questions on the basis of following functions (a) P_((n+1))=P_((n))-P_((n-1)),P is the term of the sequence and P_((0))=0, P_((1))=1 (b) Q_((n+1))=Q_((n))+Q_((n+1)),Q is the term of the sequence and Q_((0))=0, Q_((1))=1 The vlaue of [Q_((n))]^(p_(n)) can be :
Answer» `-1` 0.2 `-13` 5.5 Answer :B

Discussion

4598.	Solve the following questions on the basis of the following questions on the basis of following functions (a) P_((n+1))=P_((n))-P_((n-1)),P is the term of the sequence and P_((0))=0, P_((1))=1 (b) Q_((n+1))=Q_((n))+Q_((n+1)),Q is the term of the sequence and Q_((0))=0, Q_((1))=1 The value of Q_([Q(n+1)]) can be :
Answer» 55 13 21 89 Answer :C

Discussion

4599.	Solve the following questions on the basis of the following questions on the basis of following functions (a) P_((n+1))=P_((n))-P_((n-1)),P is the term of the sequence and P_((0))=0, P_((1))=1 (b) Q_((n+1))=Q_((n))+Q_((n+1)),Q is the term of the sequence and Q_((0))=0, Q_((1))=1 Which of the following can be a positive value of Q_(n)+P_((n+1))?
Answer» 55 234 146 none of these Answer :B

Discussion

4600.	Solve the following questions on the basis of the following questions on the basis of following functions (a) P_((n+1))=P_((n))-P_((n-1)),P is the term of the sequence and P_((0))=0, P_((1))=1 (b) Q_((n+1))=Q_((n))+Q_((n+1)),Q is the term of the sequence and Q_((0))=0, Q_((1))=1 The value of Q_(n)+P_(n) cannot be :
Answer» 2 22 55 88 Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

A certain distance is covered at a certain speed . If half of this distance is covered in double the time, the ratio of the two speeds is

If u = v^(2) = w^(2) =z^(4), then log_(u)(uvwz), is equal to

Weight of a solid metallic sphere of radius 4 cm is 4 kg. The weight of a hollow sphere made with same metal, whose outer diameter is 16 cm and inner diameter is 12 cm, is

A can do 1/2 of a piece of work in 5 days. B can do 3/5 5 of the same work in 9 days and C can do 2/3 3 of the work in 8 days. In how many days can three of them together do the work.

If a quadratic equation is multiplied by 4, the roots of the new equation will be multiplied by

There are 120 legs and 50 heads of some ducks and horses grazing in a field. Find the number of horses.

Answer these questions independently of each other How many different signals can be given using 3 coloured flags from 6 flags of different colours?

Answer these questions based on the following informations There are fifteen points on the circumference of a circle Find the maximum number of triangles formed by joining the fifteen points.

Answer these questions based on the following informations There are fifteen points on the circumference of a circle Find the maximum number of quadrilaterals formed by joining the fifteen points.

Answer these questions based on the following informations There are fifteen points on the circumference of a circle Find the maximum number of octagons formed by joining the fifteen points.

At style cloth emporium the shopkeeper measures 20% less for every metre of cloth also he marks-up goods by 20%. What is the profit percentage?

A cylinder of height 2x is circumscribed by a sphere of radius 2x such that the circular ends of the cylinder are two small circles on the sphere. What is the ratio of the curved surface area of the cylinder to the surface area of the sphere?

A conical tent has 60^(@) angle at the vertex. The ratio of its radius and slant height is :

Total number of Caps in a bag, which contains While and Black Cup only, is 16. What is the number of White Cap? (A) Probability of drawing a White Caps p (W) lt 0.3750 (B) Probability of drawing two Black Caps P(B) lt1-P(W) (C ) Difference between no. of White Caps and Black Caps is 12.

The sum of first two terms of a G.P. is 5/3 and the sum to infinity of the series is 3. Find the first term :

The compounded ratio of (2 : 3), (6: 11) and (11 :2) is

If f(x)=x^(2)+2x+2,x ge-1 =x^(3)+3x+1, x lt-1 then find the value of f(f(-2)):

Find the value of m if the equationsx^2+2x+3m=0and2x^2+3x+4m=0 have a common root

How many numbers between 55 and 555 including both the extreme values are divisible by 5?

There is a three digits number 'abc' and a two digit number 'xy' such that the product of 'abc' with 'xy' is same as the product of cba with 'yx', if x and y can be similar digits, then the number of such pairs of P and Q is :

A 440 m long train is running at 240 km/h. In what time will it pass a man running in the direction opposite to that of the train at 24 km/h?

If the radius of the base is doubled , keeping the height constant , what is the ratio of the volume of the larger cone to the smaller cone ?

Simplified value of 7 \frac{1}{2}-[2 \frac{1}{4} \div{1 \frac{1}{4}-\frac{1}{2}(1 \frac{1}{2}-\frac{1}{3}-\frac{1}{6})}] is:

Find the no. of zeros in expression 10 xx 100xx1000xx10000xx...10000000000 is :

Ashok can row upstream at 8 kmph and downstream 12 kmph . What is the speed of the stream ?

Evaluate or simplify the following expression . 5 xx 2- [3 - (5 - 7 + 2 " of" 4 - 19)]

If ((1 - i)/(1+ i))^(100) = x + iy then the value of (x, y) is:

The ratio of efficiency of A is to C is.5 :3 The ratio ofnumber of days taken by B is to C is 2:3 . A takes 6 days less than C, when A and C completes the work individually. B and C started the work arid left after 3 days. The number of days taken by A to finish the remaining work is:

AuuB=A, then :

A takes 7 days more than B to do a certain job and 16 days more than C. A and B together can do the job in the same time as C. How many days A & C would take to do it?

We bought 100 kg rice. Some quantity of them is sold at 8% profit and some is sold at 18% profit.Therefore overall profit is 14%. Find the quantity of rice of both part.

The true discount on a certain sum due 1 yr hence at 30% per annum, is X 240. What is the banker' discount on the same sum for the same time and at the same rate?

Sanjay purchased a hotel worth ₹ 10 lakh and barkha purchased a car worth ₹ 16 lakh. The value of hotel every year increases by 20% of the previous value and the value of car every year depreciates by 25%. What is the difference between the price of hotel and car after 3 years?

If x+y+z = 21, the maximum value of (x-6)(y+7)(z-4) is :

A father with 8 children takes 3 at a time to the Zoological Gardens, as often as he can without taking the same 3 children together more than once. The number of times he will go to the garden, is